# Data Interpretation - Line Charts - Discussion

Discussion Forum : Line Charts - Line Chart 4 (Q.No. 3)
Directions to Solve

The following line graph gives the percent profit earned by two Companies X and Y during the period 1996 - 2001.

Percentage profit earned by Two Companies X and Y over the Given Years

 %Profit = Income - Expenditure x 100 Expenditure 3.
If the expenditures of Company X and Y in 1996 were equal and the total income of the two Companies in 1996 was Rs. 342 crores, what was the total profit of the two Companies together in 1996 ? (Profit = Income - Expenditure)
Rs. 240 crores
Rs. 171 crores
Rs. 120 crores
Rs. 102 crores
Explanation:

Let the expenditures of each companies X and Y in 1996 be Rs. x crores.

And let the income of Company X in 1996 be Rs. z crores.

So that the income of Company Y in 1996 = Rs. (342 - z) crores.

Then, for Company X we have:

 40 = z - x x 100 40 = z - 1 x = 100z .... (i) x 100 x 140

Also, for Company Y we have:

 45 = (342 - z) x 100 45 = (342 - z) - 1 x = (342 - z) x 100 .... (ii) x 100 x 145

From (i) and (ii), we get:

 100z = (342 - z) x 100 z = 168. 140 145

Substituting z = 168 in (i), we get : x = 120. Total expenditure of Companies X and Y in 1996 = 2x = Rs. 240 crores.

Total income of Companies X and Y in 1996 = Rs. 342 crores. Total profit = Rs. (342 - 240) crores = Rs. 102 crores.

Discussion:
19 comments Page 1 of 2.

Bindalakash786@gmail.com said:   6 years ago
Thank you @Abhi.
(1)

Lavabya said:   6 years ago
Anyone can explain 100/140z=((342-z) * 100)/145.

z=168 how it came z value explain me.

Varun said:   2 years ago
Wonderful explanation, Thanks @Ksreddy.

Sangay Zangmo said:   3 years ago
100z/140.

How come 140 here? Please explain.

Kunsel said:   3 years ago
Can anyone explain where 240 (expenditure) came from?

Chitku said:   5 years ago
Thanks @Abhi.

Ravibabu said:   5 years ago
Can anyone explain?

100/140z=((342-z) * 100)/145.
z=168 how it came z value?

Explain me.

Ashwini said:   6 years ago
Can anyone please explain the simplification of z=168?

Sunil said:   6 years ago
Thanks @Abhi.

Ksreddy said:   6 years ago
Exp:
=====
100
100
---------
200

Income
=======
140
145
---------
285

285-------85
324-------?

(324 * 85)/285 = 102cr.